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Finding the Fourth Proportional to 8,237.24, 12,327.14 and 6,739.14

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Solution

The fourth proportional to 8,237.24, 12,327.14 and 6,739.14 is: 10,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.24 : 12,327.14 = 6,739.14 : x
  2. Step 2: Convert to fraction form
    8,237.24/12,327.14 = 6,739.14/x
  3. Step 3: Cross multiply
    8,237.24x = 12,327.14 × 6,739.14
  4. Step 4: Simplify right side
    8,237.24x = 83,074,288.56
  5. Step 5: Solve for x
    x = 83,074,288.56/8,237.24
  6. Step 6: Final answer
    x = 10,085.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.